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The parabola y^2=4x and the circle havi...

The parabola `y^2=4x` and the circle having its center at (6, 5) intersect at right angle. Then find the possible points of intersection of these curves.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. A quadrilateral is inscribed in a parabola. Then (a)the quadrilateral ...

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  2. A normal drawn to the parabola y^2=4a x meets the curve again at Q suc...

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  3. The parabola y^2=4x and the circle having its center at (6, 5) inters...

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  4. The extremities of latus rectum of a parabola are (1, 1) and (1,-1) . ...

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  5. If y=2 is the directrix and (0,1) is the vertex of the parabola x^2+la...

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  6. Through the vertex 'O' of parabola y^2=4x, chords OP and OQ are drawn...

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  7. If two chords drawn from the point A(4,4) to the parabola x^2=4y are b...

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  8. Statement 1: If the endpoints of two normal chords A Ba n dC D (normal...

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  9. Consider the parabola y^2=4xdot Let A-=(4,-4) and B-=(9,6) be two fixe...

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  10. The mirror image of the parabola y^(2)=4x in the tangent to the parabo...

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  11. Two straight lines are perpendicular to each other. One of them touche...

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  12. If the tangents and normals at the extremities of a focal chord of a ...

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  13. Radius of the circle that passes through the origin and touches the ...

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  14. If A(1)B(1)andA(2)B(2) are two focal chords of the parabola y^(2)=4ax,...

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  15. The tangent and normal at P(t), for all real positive t, to the parabo...

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  16. y=x+2 is any tangent to the parabola y^2=8xdot The point P on this tan...

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  17. Two parabola have the same focus. If their directrices are the x-axis ...

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  18. The triangle PQR of area 'A' is inscribed in the parabola y^2=4ax such...

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  19. The length of the chord of the parabola y^2=x which is bisected at th...

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  20. The circle x^2+y^2=5 meets the parabola y^2=4x at P and Q . Then the l...

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